7484339918016 has 1344 divisors, whose sum is σ = 26520818688000. Its totient is φ = 1994398433280.

The previous prime is 7484339917973. The next prime is 7484339918017. The reversal of 7484339918016 is 6108199334847.

7484339918016 is a `hidden beast` number, since 7 + 4 + 8 + 433 + 9 + 9 + 180 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (7484339918017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9028153890 + ... + 9028154718.

It is an arithmetic number, because the mean of its divisors is an integer number (19732752000).

Almost surely, 2^{7484339918016} is an apocalyptic number.

7484339918016 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7484339918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260409344000).

7484339918016 is an abundant number, since it is smaller than the sum of its proper divisors (19036478769984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7484339918016 is a wasteful number, since it uses less digits than its factorization.

7484339918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 7484339918016 in words is "seven trillion, four hundred eighty-four billion, three hundred thirty-nine million, nine hundred eighteen thousand, sixteen".